Summary

Fixes all 9 failing tests and all type errors in the TypeScript Hono API repo. After this change bun test reports 22 pass / 0 fail and bunx tsc --noEmit exits clean (0 errors).

Changes

• shared/src/utils/pagination.ts — Implemented the previously-stubbed paginate() utility: 1-indexed page slicing (start = (page-1)*size), total, totalPages via Math.ceil with a size > 0 guard, and correct empty-array / partial-last-page handling.
• api/src/middleware/auth.ts — Fixed the public-route check so it correctly matches HTTP method casing (Hono provides uppercase methods), so POST /users is correctly treated as public. Also made the process.env token lookup safe where process may not be in scope.
• shared/src/types.ts + api/src/routes/users.ts — Aligned the User type and the users route on a single consistent field name (removed the cross-package mismatch).
• api/src/routes/users.ts — Added the missing badRequest import, so POST /users returns 400 for missing fields.
• tsconfig.json — Added bun-types (already installed; no new dependency) to compilerOptions.types so bun:test and the process global resolve under tsc.

Verification

• bun test → 22 pass, 0 fail
• bunx tsc --noEmit → exit 0, clean

Notes / assumptions

• No test files were modified and no dependencies were added, per task constraints.
• Reviewer noted a pre-existing ?? "test-token" fallback in the auth middleware that silently accepts a hardcoded token when the env token is unset. This predates this work and is out of scope, flagged for awareness.
• A stale JSDoc comment in types.ts describing the original bug was left in place (cosmetic only).